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Finding the Third Proportional to 1,182,901.50 and 1,853,185.50

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Solution

The third proportional to 1,182,901.50 and 1,853,185.50 is: 2,903,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,901.50 : 1,853,185.50 = 1,853,185.50 : x
  2. Step 2: Convert to fraction form
    1,182,901.50/1,853,185.50 = 1,853,185.50/x
  3. Step 3: Cross multiply
    1,182,901.50x = 1,853,185.50 × 1,853,185.50
  4. Step 4: Simplify right side
    1,182,901.50x = 3,434,296,497,410.25
  5. Step 5: Solve for x
    x = 3,434,296,497,410.25/1,182,901.50
  6. Step 6: Final answer
    x = 2,903,281.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.